Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31350bi |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
1.487900390625E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2162688,1073413281] |
[a1,a2,a3,a4,a6] |
Generators |
[-395:43397:1] |
Generators of the group modulo torsion |
j |
71595431380957421881/9522562500000000 |
j-invariant |
L |
7.9689578314439 |
L(r)(E,1)/r! |
Ω |
0.17622610170078 |
Real period |
R |
2.8262547923289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94050bp1 6270l1 |
Quadratic twists by: -3 5 |